Relational Organization and Scalar Provenance in Entanglement–Algebraic Spacetime: Insights from the Leptonic Weak Sector

This paper is archived as a speculative research work.The leptonic weak interaction offers a demanding test of the representational capacity of Entanglement–Algebraic Spacetime (EAS): a successful account must hold together conserved source identity, composite reconfiguration, the charged-current and neutral-current channels, parity-sensitive muon decay, and flavor-sensitive neutrino propagation and registration. This paper examines what the resulting correspondences establish about the Scalar Fields (SFs) themselves. Its mathematical basis is the author-certified conditional weak-sector theorem stack EAS-SF-WEAK-TS1, Revision 10.0, including the separately certified angular-momentum, source-succession, and S_11 contact/registration correspondences. The central SF-native witness consists of seven phase-qualified relational registers with thirteen conserved conjugate scalar-source inventories. Under its stated structural hypotheses, admissible handoffs preserve signed source provenance through a muon-like to electron-like organizational reconfiguration, while distinguishing two outgoing source lineages R and S_11. Thus continuity of physical source genealogy is supported by conserved relational organization across different point-role assignments. A companion conditional arbitrary-finite-depth succession result extends this distinction to every specified finite depth under an explicit fresh-realization premise. Under their corresponding, separately qualified hypotheses, the physical-interface results admit a common selected leptonic SU(2)_L U(1)_Y representation with compatible charged and neutral currents; a leading-order polarized Michel parity asymmetry; contact-qualified, flavor-sensitive detection; and a selected coherent neutrino-oscillation representation. These mathematical results reveal that source identity, registered flavor, and interaction representation can occupy distinct, mutually consistent descriptive roles. The paper's central conclusion is an ontological sufficiency statement: conserved scalar provenance, phase-qualified relational succession, and composite organization provide an SF foundation admitting the indicated leptonic weak-interaction representations under their certified hypotheses. The SF ontology is assessed by mathematical consistency and derivation; the physical interface is assessed by the correspondence to established physical behavior. Detailed frozen proofs, audit records, and executable witnesses are included in the accompanying certified-evidence supplement.